Division

Division is an operation that splits a number into equal parts or groups. The number being divided is called the dividend, the number by which it is being divided is called the divisor, and the result is called the quotient.

Basic Division

To perform basic division, use the following steps:

1. Place the dividend inside the division bracket, and the divisor outside the bracket.
2. Start by dividing the leftmost digit of the dividend by the divisor.
3. If the divisor is greater than the first digit of the dividend, continue to the next digit until the divisor is less than the dividend.
4. Write the quotient above the division bracket and multiply the divisor by the quotient.
5. Subtract the product from the part of the dividend you have not yet divided.
6. Bring down the next digit of the dividend and repeat the process until there are no digits left to bring down.
7. The final result is the quotient.

Example

Let's divide 456 by 6:

      7
  6 | 456
      - 42
        ---
        36
        36
        ---
         0
  

In this example, the quotient is 76, and there is no remainder. The result is a whole number.

Division with Remainders

Sometimes, when you divide, the division does not result in a whole number. In this case, you will have a remainder. The remainder is the amount left over after dividing as much as possible. You can express the remainder as a fraction or a decimal.

Study Guide

Here are some important concepts to remember when studying division:

• Understand the relationship between the dividend, divisor, and quotient.
• Practice basic division with single-digit divisors to build a strong foundation.
• Learn how to express remainders as fractions or decimals.
• Explore real-world problems that can be solved using division.
• Master long division for dividing larger numbers.

Remember, division is the opposite of multiplication. Understanding division will help you strengthen your overall math skills.